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Finding the Fourth Proportional to 6,906.84, 10,354.62 and 3,211.38

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Solution

The fourth proportional to 6,906.84, 10,354.62 and 3,211.38 is: 4,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.84 : 10,354.62 = 3,211.38 : x
  2. Step 2: Convert to fraction form
    6,906.84/10,354.62 = 3,211.38/x
  3. Step 3: Cross multiply
    6,906.84x = 10,354.62 × 3,211.38
  4. Step 4: Simplify right side
    6,906.84x = 33,252,619.58
  5. Step 5: Solve for x
    x = 33,252,619.58/6,906.84
  6. Step 6: Final answer
    x = 4,814.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.